Consider the problem of wave propagation at an arbitrary direction in a cold magnetoplasma, but including the motion of the ions (one type only).

(a) Show that the dispersion relation is obtained from an equation identical to (5.25), except that now we have (neglecting collisions)

where (with α = e, i)

(b) Obtain the dispersion relation and show that it can be written in the form

where θ is the angle between k and B₀, R = S + D, and L = S – D.

(c) Determine and plot the resonances and reflection points as a function of θ.

Equation.

Transcribed Image Text:

Xe 1-Y2 XeYe Xi Yi + 1-Y²1-Y? e P = 1 - Xe - X S = 1 - D = Xi 1-Y?